A new perturbative technique for solving integro-partial differential equations [PDF]
Journal of Mathematical Physics, 1999 Integro-partial differential equations occur in many contexts in mathematical physics. Typical examples include time-dependent diffusion equations containing a parameter (e.g., the temperature) that depends on integrals of the unknown distribution function.
Peter Becker, Becker Peter A
exaly +3 more sources
Exact solutions of (1 + 1)-dimensional integro-differential Ito, KP hierarchy, CBS, MCBS and modified KdV-CBS equations [PDF]
PLoS ONE, 2023 The present study computes the Lie symmetries and exact solutions of some problems modeled by nonlinear partial differential equations. The (1 + 1)-dimensional integro-differential Ito, the first integro-differential KP hierarchy, the Calogero ...
Amina Amin, Imran Naeem, Adnan Khan
doaj +3 more sources
A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations [PDF]
Nonlinear Differential Equations and Applications, 2006 We formulate and prove a non-local "maximum principle for semi- continuous functions" in the setting of fully nonlinear and degenerate elliptic integro-partial dierential equations with integro operators of second order. Similar results have been used implicitly by several researchers to obtain com- parison/uniqueness results for integro-partial ...
Kenneth H Karlsen +2 more
exaly +2 more sources
Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G
Advances in Mathematical Physics, 2022 In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G.
Daba Meshesha Gusu, Chala Bulo
doaj +3 more sources
A Finite Element Like Scheme for Integro-Partial Differential Hamilton–Jacobi–Bellman Equations [PDF]
SIAM Journal on Numerical Analysis, 2009 We construct a finite element like scheme for fully nonlinear integro-partial differential equations arising in optimal control of jump-processes. Special cases of these equations include optimal portfolio and option pricing equations in finance. The schemes are monotone and robust.
Fabio Camilli, Espen Robstad Jakobsen
exaly +2 more sources
A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels. [PDF]
HeliyonVolterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category.
Sadri K +4 more
europepmc +5 more sources
Journal of the Egyptian Mathematical Society, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled Gepreel
exaly +3 more sources
International Journal of Differential Equations, 2022 The findings indicate an application of a new method of expansion of the forms Z′/Z and 1/Z to determine the solutions for wave of the solitary nature in the 2+1-dimensional modified form for nonlinear integro-partial differential equations.
Daba Meshesha Gusu, Shelama Diro
doaj +2 more sources
Integro-differential equations with bounded operators in Banach spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
doaj +3 more sources
Effect of non-stationary external forces on vibrations of composite pipelines conveying fluid [PDF]
E3S Web of Conferences, 2023 The effect of non-stationary external forces on the vibration of pipelines made of composite materials is investigated in the paper. A mathematical model of composite pipeline vibration is developed, considering the viscosity properties of the structure ...
Verlan A.A. +4 more
doaj +1 more source